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Advisor(s)
Abstract(s)
Wythoff Queens is a classical combinatorial game related to very interesting mathematical results. An amazing one is the fact that the P-positions are given by (⌊├ φn⌋┤┤,├ ├ ⌊φ┤^2 n⌋) and (⌊├ φ^2 n⌋┤┤,├ ├ ⌊φ┤n⌋) where φ=(1+√5)/2. In this paper, we analyze a different version where one player (Left) plays with a chess bishop and the other (Right) plays with a chess knight. The new game (call it Chessfights) lacks a Beatty sequence structure in the P-positions as in Wythoff Queens. However, it is possible to formulate and prove some general results of a general recursive law which is a particular case of a Partizan Subtraction game.
Description
Keywords
Combinatorial Game Theory Partizan Subtraction Games Wythoff Queens
Citation
CARVALHO, A.; [et al] – A recursive process related to a partisan variation of Wythoff. Integers, Electronic Journal of Combinatorial Number Theory. ISSN: 1553-1732. Vol. 12, nr. 5 (2012)